What is 95/88 Divided By 1/6

Solving $\frac{95}{88}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{88} \div \frac{1}{6} = \frac{95}{88} \times \frac{6}{1}$

• Multiply the Numerators: $95 \times 6 = 570$
• Multiply the Denominators: $88 \times 1 = 88$
• Form the New Fraction: $\frac{95}{88} \times \frac{1}{6} = \frac{570}{88}$

Let's Simplify $\frac{570}{88}$

• Find the Greatest Common Divisor (GCD) of $570$ and $88$. The GCD of $570$ and $88$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{570 \div 2}{88 \div 2} = \frac{285}{44}$

Answer $\frac{95}{88}\div\frac{1}{6} = \frac{285}{44}$

The following animation demonstrates the divide-by,